Finite Group DatabasebetaFinite Group Databasebeta| order | 1664 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C26 |
| direct product | C2×D13×C4⋊C8 |
| Fitting | C2×C13×C4⋊C8 ⋊ C2 |
| Sylow | C13 ⋊ C22×C4⋊C8 |
640 conjugacy classes of subgroups.
| transitive degree | μt(G) = 832 |
320 conjugacy classes. The character table is too large to display.
| maximal subgroup of | D13×#1277, #15752379, #15752393, … |
| maximal normal subgroup of | D13×#1277, #15752379, #15752393, … |
| maximal quotient of | C2×D13×#334, C2×D13×#335, D13×#1564, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1664, 13059);